The ceiling of victorias living room is a square that is 15⟌2 ft long on each side. to decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Victoria can buy rolls that each contain 30 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.

The mean number of goals the team scored is 2.3

Mean is one of the measures of central tendency, apart from the mode and median. Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set. The mean, median and mode are the three commonly used measures of central tendency. To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of values.

Basically, the mean of a data set is the average of the entire data

mean = sum of all data / total number of data

mean = 23 / 10

mean = 2.3

The mean is 2.3

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Answer:

x less than or equal to -2

Step-by-step explanation:

I believe that's the answer

Answer:

  x < -2

Step-by-step explanation:

You want the domain of a function graphed as a curve with an open circle at x=-2, which is the right end of the curve.

The domain is the horizontal extent of the graph. It is the set of values for which the relation is defined.

The open circle at (x, y) = (-2, 0) means that point is not part of the graph. All x-values to the left of that point have corresponding y-values, so the extent of the graph can be said to be ...

  x < -2

The domain of the relation is x < -2.

The slope of the line that passes through (2,4) , (9,10) is 6/7

From the question, the points are given as

(2,4) , (9,10)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (2,4) and (9,10)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (2,4) and (9,10)

Substitute the known values in the above equation

So, we have the following equation

Slope = (10 - 4)/(9 - 2)

Evaluate

Slope = 6/7

Hence, the slope of the line is 6/7

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The confidence interval for the population proportion p is: 0.3031, 0.4367.

First step is to find the population proportion p

p= x/n

p = 52/141

p = 0.37

Second step is to find the margin of error

z-score for 95 % confidence interval is 1.645

Margin of error = 1.645√0.37 (1- 0.37)/141

Margin of error = 1.645√0.37 (0.63)/141

Margin of error = 1.645√0.00165319

Margin of error = 1.645(0.04065945)

Margin of error = 0.06688

Third step is to find the Confidence interval

Confidence interval = p ± MOE

Confidence interval = (0.37 - 0.06688) , (0.37 + 0.06688)

Confidence interval =0.3031, 0.4367

Therefore the Confidence interval is 0.3031, 0.4367.

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Each person will get 159 pieces.

Division is breaking a number up into an equal number of parts.

Given that, There are 1,754 pieces of chocolate. 11 people were craving it.

1754/11 ≈ 159

Hence, Each person will get 159 pieces.

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The balance of an account is given as follows:

[tex]B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}[/tex]

The meaning of each parameter is given as follows:

The payments in this problem are given as follows:

For the balance over 20 years, the values of the parameters are given as follows:

P = 135, r = 0.035, n = 12, t = 20.

Then the balance is given as follows:

[tex]B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}[/tex]

[tex]B = \frac{135\left(\left(1 + \frac{0.035}{12}\right)^{12 \times 20}-1\right)}{\frac{0.035}{12}}[/tex]

B = $93,113.

The contributed amounts are given as follows:

Hence the accrued interest is of:

93,113 - (21,600 + 10,800) = $60,713.

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Answer:

$300

Step-by-step explanation:

S = amount of $$ Shivani currently has

Y = ... Yamini currently has

1. If Shivani gives 60 to Yamini, the amounts with both will be equal:
   S - 60 = Y + 60

2. if Yamini gives 20 to Shivani, the amount with Shivani would become twice the amount left with Yamini: 2(Y-20) = S+20

3. Simplify both equations and solve the system:

   S = Y + 120
   S = 2Y - 60

   Y + 120 = 2Y - 60  ⇒  Y = 180

   S = 180 + 120 = 300

The number of sugar cups will be equal to 7.5 cups.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio of flour to sugar is 2 cups to 3 cups. The number of cops for flour is 5.

The number of sugar cups will be calculated as,

F / S = 2 / 3

5 / S = 2 / 3

S = ( 5 x 3 ) / 2

S = 7.5 cups

Therefore, the number of sugar cups will be equal to 7.5 cups.

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Answer:

y = -194x + 3850

Step-by-step explanation:

slope intercept form

y = mx + b

info from question:
. slope = -194

. five years later same school has 3850 students

Hope this helps!

- vo

Answer:

31

Step-by-step explanation:

Because c = -9 and d = -5, we replace the variables in the expression with the corresponding numbers.

cd + c + d --- >  (-9)(-5) + (-9) + (-5)

Then we solve it.

(-9)(-5) + (-9) + (-5)

   45 + (-9) + (-5)

        36 + (-5)

             31

The standard form of the complex numbers ( 7 − 5 i ) ⁢ ( 2 + 3 i ) is

Complex numbers are numbers that are represented of the form a + ib

a and b are real numbers. a is the real part and b is in the imaginary part

i = √-1

Opening up the parenthesis by multiplication  

( 7 − 5 i ) ⁢ ( 2 + 3 i )

= 14 +21i - 10i -15i^2

where i^2 = -1

= 14 +21i - 10i -15 * -1

= 14 +21i - 10i +15

= 29 + 11i

The equation is equal to 29 + 11i

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The range of the given cluster as represented in the image attached to the task content is; 1 - 6 meters.

It follows from the task content that the range of the cluster shown in the task content is to be determined.

On this note, since the range of a set of data is the set of all possible output values which has a lower limit and upper limit respectively.

As evident in the task content; the minimum distance recorded was 1 meter while the maximum distance recorded was 6 minutes.

The range of the cluster is therefore; 1 - 6 minutes.

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By using Unitary method it can be calculated that

4 quarts of white paint is mixed with [tex]1\frac{1}{5}[/tex] quarts of blue paint

 1 quart of blue paint is mixed with  [tex]3\frac{1}{3}[/tex] quarts of white paint

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

a) Here, Unitary method will be used

Blue Paint                   White Paint

(Quart)                          (Quart)

[tex]1\frac{1}{2}[/tex]                                     5

[tex]1\frac{1}{5}[/tex]                                     4

1                                        [tex]3\frac{1}{3}[/tex]

5 quarts of white paint is mixed with [tex]\frac{3}{2}[/tex] quarts of  blue paint

1 quart of white paint is mixed with [tex]\frac{3}{2} \times \frac{1}{5}[/tex] quarts of blue paint

4 quarts of white paint is mixed with [tex]\frac{3}{2} \times \frac{1}{5} \times 4[/tex] quarts of blue paint

4 quarts of white paint is mixed with [tex]\frac{6}{5}[/tex] quarts of blue paint

4 quarts of white paint is mixed with [tex]1\frac{1}{5}[/tex] quarts of blue paint

Again

[tex]\frac{3}{2}[/tex] quarts of blue paint is mixed with 5 quarts of white paint

1 quart of blue paint is mixed with  [tex]5 \div \frac{3}{2}[/tex] quarts of white paint

1 quart of blue paint is mixed with  [tex]\frac{10}{3}[/tex] quarts of white paint

1 quart of blue paint is mixed with  [tex]3\frac{1}{3}[/tex] quarts of white paint

c) Finally

  4 quarts of white paint is mixed with [tex]1\frac{1}{5}[/tex] quarts of blue paint

   1 quart of blue paint is mixed with  [tex]3\frac{1}{3}[/tex] quarts of white paint

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21⁰

sin0=opp/hyp

sin0=5/14

0=(sin^-1)5/14

0=21⁰

The amount they earn from the sale of candy canes as required is; $6.75.

It follows from the task content that the amount earned by Raven and Tyler as in the task content is to be determined.

Since they sell their cups of hot chocolate for $2.25 in which case they sold 11 cups.

However, the question requires that the amount which they earn from the sale of candy canes is to be determined.

Therefore, since each candy cane is sold for $0.75, it follows that the amount earned on 9 candy cones is;

= 9 × $0.75

= $6.75

Ultimately, the amount earned from the candy canes is; $6.75.

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Answer:

Inequality: 40x + 13100 ≤ 24500

x ≤ 285

Step-by-step explanation:

When a  bi-athlete travels 50 km in 2 1/6 hours . cycling part of the way at 30 km/h and running the rest at 12 km/h. the athlete ran 10 km

we generate two equations from the concept of speed =  distance / time

let the time for cycling be x and time for running be y

therefore

x + y = 2 1/6 hours

distance for cycling

= 30 * x

= 30x

distance for running

= 12 * y

= 12y

total distance

30x + 12y = 50

solving the equation simultaneously

30x + 12y = 50

x + y = 2 1/6

x = 4/3 and y = 5/6

How far the bi-athlete run

= 12y

= 12 * 5/6

= 10 km

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Answer:

  (√2/2)(sin(x) +cos(x))

Step-by-step explanation:

You want sin(x+π/4) written in terms of sine and cosine.

The sine of the sum of two angles is found using the identity ...

  sin(α +β) = sin(α)cos(β) +cos(α)sin(β)

Choosing α=x and β=π/4, this becomes ...

  sin(x +π/4) = sin(x)cos(π/4) +cos(x)sin(π/4)

The trig function values are ...

  sin(π/4) = cos(π/4) = √2/2, so the expression can be written ...

  sin(x +π/4) = sin(x)√2/2 +cos(x)√2/2

  sin(x +π/4) = (√2/2)(sin(x) +cos(x))

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The simplification of the expression 6 to the power of 2 - (8 - 4) to the power of 2 + 7 = ? gives -262108

Simplification is a way of determining an answer for a complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus, etc.

Given: the expression, 6 to the power of 2 - (8 - 4) to the power of 2 + 7 = ?

This can be written as 6² -  (8 - 4)²⁺⁷. Thus:

6² -  (8 - 4)²⁺⁷ = 6² -  4⁹

                      = (6×6) - (4×4×4×4×4×4×4×4×4)

                      = 36 - 262144

                      =  -262108

Therefore, the expression 6² -  (8 - 4)²⁺⁷ simplifies to -262108

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0.01023 is the probability of obtaining a success

Since we are dealing with a binomial probability distribution. We are going to use the binomial distribution formula for determining the probability of x successes:

P(X = r) = nCr . p^r  . q^n-r

Given: number of trial (n) = 17, probability of success (p) = 0.6, X=15

probability of failure (q) = 1 - 0.6 = 0.4

P(X = 15) = 17C15 × 0.6¹⁵ × 0.4¹⁷⁻¹⁵

P(X = 15) = 17C15 × 0.6¹⁵ × 0.4²

P(X = 15) = 136 × 0.6¹⁵ × 0.16

P(X = 15)  = 0.01023

Therefore, the probability of obtaining a success is 0.01023

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The rational root theorem, as its name suggests, is used to find the rational solutions of a polynomial equation (or zeros or roots of a polynomial function). The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials. A polynomial doesn't need to have rational zeros.

Rational root theorem, also called rational root test, in algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and the constant term (the one without a variable) must be divisible by the numerator.

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The meaning of the type I error in the context of this problem is that money would be spent on ads without generating a increase in sales.

The hypothesis test divide into null hypothesis and alternative hypothesis, as follows:

A Type I error happens when a true null hypothesis is rejected.

Hence the company would think that they had enough evidence that the ads increase sales when in fact they do not, which would generate a significant reduction in the company's revenue, as they would spend more on ads without the increase in earnings from the extra sales.

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Newton and Descartes eat the same amount based on the fraction calculated.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

From the information, Newton and Descartes

each buy identical pastillas. Newton cuts his into twelfths and eats 8 slices. This will be 1/12 each. Since there are 4 parts left, this will be:

= 1/12 × 4

= 4/12

= 1/3

Descartes cuts his into sixths, eats some, and has 2 slices left. This will be:

= 2 × 1/6

= 1/3

Therefore, Newton and Descartes eat the same amount.

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The value of x in the considered inequality's solution set is given by -10.

What is  inequality ?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

We have;

3(x - 4) ≥ 5x + 2

By solving;
3(x - 4) ≥ 5x + 2

3x - 12 ≥ 5x + 2

Adding -3x-2 on both sides we get ;

-12-2 ≥ 5x-3x

-14 ≥ 2x

Dividing both sides by 2,we get;

-14/2 ≥ 2x/2

-7 ≥ x

x ≤ -7

As a result, any numbers that are less than or equal to -7 comprise the solution set for this inequality.

There is currently only the value -10 in the solution set because -10 ≤ -7.

As a result, the value of x in the collection of solutions to the inequality under consideration is provided by -10.

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Answer:

x=-10

Step-by-step explanation:

-3x-7=-8x-57

Add 8x: 5x-7=-57

Add 7: 5x=-50

Divide 5: x=-10

The degree of the term is the power of the term

The degree of a phrase with a single variable is the exponent of that variable. The degree is equal to the exponents of all the variables when there are many variables.

degree we find by just looking at its power.

To further understand the word, let's look at an example.

[tex]7x^{8}[/tex] degree is 8

[tex]6y^{2}[/tex]degree is 2,

[tex]x^{2}[/tex] +[tex]y^{5}[/tex] degree will be 7

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The degree of an expression in more than one variable is the highest sum of the powers of the variables in the terms.

Expression:

An algebraic expression is a combination of constant and variables connected by the signs of fundamental operations.

ex: 2x+5

Degree of an expression:

The degree of an expression in one variable is the highest exponent of the variable in that expression.

Ex:

2x^6 + x^4 + 5

Highest exponent = 6

so degree = 6

The degree of an expression in more than one variable is the highest sum of the powers of the variables.

Ex:

3x^1y^2 + 5x^3y^2 + 5

Sum of powers of variables = 3+2 = 5

Degree = 5.

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